CN113326591A - Drill bit design method based on dynamic rock breaking energy balance adaptation principle - Google Patents

Drill bit design method based on dynamic rock breaking energy balance adaptation principle Download PDF

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CN113326591A
CN113326591A CN202110883572.9A CN202110883572A CN113326591A CN 113326591 A CN113326591 A CN 113326591A CN 202110883572 A CN202110883572 A CN 202110883572A CN 113326591 A CN113326591 A CN 113326591A
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tooth
drill bit
main cutting
rock breaking
drill
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CN113326591B (en
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董广建
陈平
付建红
杨迎新
苏堪华
侯学军
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Southwest Petroleum University
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/17—Mechanical parametric or variational design
    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21B—EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B10/00—Drill bits
    • E21B10/42—Rotary drag type drill bits with teeth, blades or like cutting elements, e.g. fork-type bits, fish tail bits
    • E21B10/43—Rotary drag type drill bits with teeth, blades or like cutting elements, e.g. fork-type bits, fish tail bits characterised by the arrangement of teeth or other cutting elements
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces

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Abstract

The invention discloses a drill bit design method based on a dynamic rock breaking energy balance adaptation principle, which comprises the steps of firstly, obtaining the total rock breaking energy of each main cutting tooth through mechanical calculation; then obtaining the rock breaking characteristic energy factor of the drilling tooth corresponding to each main cutting tooth and the value range thereof, and obtaining the difference value between the rock breaking characteristic energy factors of the drilling tooth corresponding to each main cutting tooth; secondly, the vector summation of the horizontal cutting force of the drill tooth corresponding to each main cutting tooth and the vector summation of the resultant force of the drill tooth corresponding to each main cutting tooth are obtained; finally, the value range and the difference of the rock breaking characteristic energy factors of the drill teeth, and the horizontal cutting force vector summation and the resultant force vector summation of the drill teeth are used as design standards to complete the design of the drill bit.

Description

Drill bit design method based on dynamic rock breaking energy balance adaptation principle
Technical Field
The invention relates to the field of optimization design of a drill bit, in particular to a drill bit design method based on a dynamic rock breaking energy balance adaptation principle.
Background
With the continuous deepening of the exploration and development work of oil and gas fields, the key point of oil and gas development gradually turns to oil and gas resources of deep strata, so that the drilled strata are more and more complex, the drilling difficulty is more and more high, and the well track is more and more complex, including deep wells, ultra-deep wells, wells with complex structures and the like. The deep oil gas resource has complex burying conditions (including high temperature, high pressure, high sulfur content, low permeability and the like), and has the characteristics of deep burying, compact rock, large change of stratum lithology, high strength, large hardness, poor drillability, strong abrasiveness, strong heterogeneity and the like when drilling in the stratum.
In summary, the complex dynamic rock strength at the bottom of the well in the dynamic rock breaking process cannot be simply ignored no matter the vibration is actively applied or passively generated. In the actual drilling process, the drill string inevitably collides with the well wall due to the movement of the drill string, and the dynamic contact of the drill bit and the well bottom breaks rocks, so that the underground vibration environment is more complicated. The problems of measurement of underground vibration, research of dynamic rock breaking interference and the like become more complicated due to coupling of multiple factors such as collision, rotation, dynamic rock breaking, active application of dynamic load and the like. The understanding of the vibration generated in the underground dynamic rock breaking process by people for many years is summarized. The downhole vibration can be divided into three basic forms according to the vibration direction, including axial (longitudinal), transverse and circumferential (torsional), and the specific forms include stick-slip vibration, bit bounce, bit whirl, BHA whirl, transverse impact, torsional resonance, parametric resonance, bit agitation, vortex-induced vibration and coupled vibration. Among them, stick-slip, whirl, bounce and impact damage are large, and they are important research objects. The actual rock breaking is performed under the action of complex dynamic load, namely complex vibration in the wellThe dynamic environment inducement can be divided into two aspects, namely the auxiliary vibration rock breaking caused by actively applying engineering measures and the inevitable passive occurrence of the drill string or drill bit movement. The dynamic load generation causes two aspects: firstly, engineering measures (active excitation dynamic load, rotating speed dynamic load, axial impacter, torsion impacter, roller bit, composite bit, screw motor, turbine motor, rotary guide system and PDC/drag bit) are actively applied to cause regular dynamic load, the maximum frequency exceeds 45Hz, the maximum amplitude exceeds 30g, and the comprehensively expressed maximum dynamic load strain rate exceeds 100s-1(ii) a Secondly, the drill bit is in contact with the stratum passively to generate random dynamic loads in the axial direction, the transverse direction and the circumferential direction, the highest frequency exceeds 350Hz, the highest amplitude exceeds 100g, and the comprehensive maximum dynamic load strain rate exceeds 150s-1. During the thermal cracking drilling process, the rock is subjected to large temperature difference alternating heat load, and the maximum temperature exceeds 600 ℃. The reason for dynamic external loading is two-fold: firstly, engineering measures (active excitation dynamic load, rotating speed dynamic load, axial impacter, torsion impacter, roller bit, composite bit, screw motor, turbine motor, rotary guide system and PDC/drag bit) are actively applied to cause regular dynamic load, the maximum frequency exceeds 45Hz, the maximum amplitude exceeds 30g, and the comprehensively expressed maximum dynamic load strain rate exceeds 100s-1(ii) a Secondly, the drill bit is in contact with the stratum passively to generate random dynamic loads in the axial direction, the transverse direction and the circumferential direction, the highest frequency exceeds 350Hz, the highest amplitude exceeds 100g, and the comprehensive maximum dynamic load strain rate exceeds 150s-1. During the thermal cracking drilling process, the rock is subjected to large temperature difference alternating heat load, and the maximum temperature exceeds 600 ℃. In summary, the complex dynamic rock strength at the bottom of the well in the dynamic rock breaking process cannot be simply ignored no matter the vibration is actively applied or passively generated.
The traditional drill bit design method, for example, patent CN201010500274.9 invented a fractal design method for diamond particle distribution of diamond drill bit, and proposed a design method for size, quantity and distribution of diamond particles of diamond drill bit. And patent CN201010500309.9 discloses a fractal design method of a gear tooth structure of a roller bit, and proposes a design method for the size, number and distribution of gear teeth of a roller bit. The traditional design method of the drill bit is only based on a certain single factor aspect such as drilling parameters, diamond particles, gear teeth of a gear wheel and the like, the design method of the drill bit is researched, the influence of the change of the rock property of the stratum on the working state of the drill bit is neglected, so that the performance of the designed drill bit is difficult to have a great breakthrough.
Therefore, the rock breaking principle based on equal energy is required to be considered, a drill bit optimization design method is established, the energy borne by each main cutting tooth on the drill bit is fully considered, the total rock breaking energy of each main cutting tooth is calculated, the value range and the difference value of the rock breaking characteristic energy factor of the drilling tooth corresponding to each main cutting tooth are set in a reasonable range, the sum of the horizontal cutting force vectors corresponding to each main cutting tooth is 0, and the sum of the resultant force vectors is 0, namely, the energy of each main cutting tooth is adjusted to be equal, when the traditional drill bit is used for drilling a stratum, the energy borne by each main cutting tooth on the drill bit is different and cannot be effectively adjusted, so that the abrasion degree of each main cutting tooth on the drill bit is different, the drill bit is easy to damage, and the rock breaking efficiency is lower, the drill bit damage caused by different energy borne by each main cutting tooth of the traditional drill bit is eliminated, the rock breaking efficiency of the drill bit is improved, the service life of the drill bit is prolonged, and the drill bit has a wide application prospect.
Disclosure of Invention
In order to realize the technical effects, the following technical scheme is adopted:
a drill bit design method based on a dynamic rock breaking energy balance adaptation principle comprises the following steps:
step S1: selecting a target drill tooth and rock, and determining the type of the target drill tooth, the geometric size of the drill tooth, the type of the rock and rock parameters; calculating the horizontal cutting force of the drilling tooth corresponding to each main cutting tooth by a drilling tooth horizontal cutting mechanics calculation method; calculating the vertical pressing force of the drill teeth corresponding to each main cutting tooth by using a vertical pressing mechanical calculation method of the drill teeth;
step S2: obtaining rock breaking energy of each main cutting tooth according to a drilling tooth rock breaking energy calculation method by using the drilling tooth horizontal cutting force corresponding to each main cutting tooth and the drilling tooth vertical pressing force corresponding to each main cutting tooth obtained in the step S1, and calculating total rock breaking energy of each main cutting tooth;
step S3: obtaining a drill tooth rock breaking characteristic energy factor corresponding to each main cutting tooth by using the total rock breaking energy of each main cutting tooth obtained in the step S2 and through a drill tooth rock breaking characteristic energy factor calculation method;
step S4: regulating and controlling the difference value between the rock breaking characteristic energy factors of the drilling teeth corresponding to each main cutting tooth obtained in the step S3 by adjusting the arrangement parameters of the drill bit, and obtaining the value range of the rock breaking characteristic energy factors of the drilling teeth corresponding to each main cutting tooth by the critical characterization conditions of the rock breaking characteristic energy factors of the drilling teeth;
step S5: adding the horizontal cutting force vectors of the drill teeth corresponding to each main cutting tooth on the drill bit, and adding the resultant force vectors of the drill teeth corresponding to each main cutting tooth on the drill bit;
step S6: taking the difference between the drilling tooth rock breaking characteristic energy factors corresponding to each main cutting tooth obtained in the step S4, the drilling tooth rock breaking characteristic energy factor value range corresponding to each main cutting tooth, the horizontal cutting force vector sum of the drilling tooth corresponding to each main cutting tooth obtained in the step S5, and the resultant force vector sum of the drilling tooth corresponding to each main cutting tooth on the drill bit as a drill bit design standard, and completing the drill bit design if the design standard is met; and if the drill bit design standard is not met, the drill bit design is finished after the drill bit layout parameters are continuously adjusted to meet the drill bit design standard.
In the step S2, the concrete method of obtaining the rock breaking energy contributed by each main cutting tooth according to the drilling tooth rock breaking energy calculation method and calculating the total rock breaking energy contributed by each main cutting tooth includes:
Figure 759941DEST_PATH_IMAGE001
；
Figure 574314DEST_PATH_IMAGE002
；
Figure 209825DEST_PATH_IMAGE003
；
in the formula (I), the compound is shown in the specification,
Figure 476859DEST_PATH_IMAGE004
is the first on the drill bit
Figure 738076DEST_PATH_IMAGE005
Energy contributed by horizontal cutting force in the rock breaking process of each main cutting tooth, J;
Figure 406954DEST_PATH_IMAGE006
is the first on the drill bit
Figure 210438DEST_PATH_IMAGE005
Horizontal cutting force N in the rock breaking process of each main cutting tooth;
Figure 964767DEST_PATH_IMAGE007
is the first on the drill bit
Figure 29675DEST_PATH_IMAGE005
Cutting speed of each main cutting tooth, m/s;
Figure 553060DEST_PATH_IMAGE008
is the first on the drill bit
Figure 530375DEST_PATH_IMAGE005
Energy contributed by vertical pressing force in the rock breaking process of the main cutting teeth, J;
Figure 772000DEST_PATH_IMAGE009
is the first on the drill bit
Figure 375020DEST_PATH_IMAGE005
Vertical pressing force N in the rock breaking process of the main cutting teeth;
Figure 752912DEST_PATH_IMAGE010
is the first on the drill bit
Figure 229024DEST_PATH_IMAGE005
The tooth drilling force contributes to total energy J in the rock breaking process of each main cutting tooth;
Figure 692366DEST_PATH_IMAGE011
the main cutting tooth running time, s;
Figure 849809DEST_PATH_IMAGE012
is the cutting depth of the main cutting tooth, mm.
On the drill bit
Figure 82207DEST_PATH_IMAGE005
Cutting speed of main cutting tooth
Figure 916171DEST_PATH_IMAGE007
The expression of (a) is:
Figure 866809DEST_PATH_IMAGE013
in the formula (I), the compound is shown in the specification,
Figure 639329DEST_PATH_IMAGE014
is the first on the drill bit
Figure 991813DEST_PATH_IMAGE005
The distance from the position of each main cutting tooth to the axial lead of the drill bit is m;
Figure 747411DEST_PATH_IMAGE015
the rotating speed of the cutting teeth on the drill bit is r/min;
Figure 247662DEST_PATH_IMAGE007
is the first on the drill bit
Figure 933859DEST_PATH_IMAGE005
The cutting speed of each cutting tooth is m/s.
In the step S3, the drill tooth rock breaking characteristic energy factor corresponding to each main cutting tooth includes a compression rock breaking process characteristic energy characterization factor, a shearing rock breaking process characteristic energy characterization factor, and a tension rock breaking process characteristic energy characterization factor.
In the step S3, the concrete method for obtaining the drill tooth rock breaking characteristic energy factor corresponding to each main cutting tooth by the drill tooth rock breaking characteristic energy factor calculation method includes:
Figure 953898DEST_PATH_IMAGE016
；
Figure 67348DEST_PATH_IMAGE017
；
Figure 54895DEST_PATH_IMAGE018
；
in the formula (I), the compound is shown in the specification,
Figure 279203DEST_PATH_IMAGE019
is the first on the drill bit
Figure 419329DEST_PATH_IMAGE005
Characteristic energy characterization factors of the compression rock breaking process of the main cutting teeth are dimensionless;
Figure 438100DEST_PATH_IMAGE020
is the first on the drill bit
Figure 912944DEST_PATH_IMAGE005
Characteristic energy characterization factors of the shearing and rock breaking process of the main cutting teeth are dimensionless;
Figure 940943DEST_PATH_IMAGE021
is the first on the drill bit
Figure 932645DEST_PATH_IMAGE005
Characteristic energy characterization factors of the stretching rock breaking process of the main cutting teeth are dimensionless;
Figure 387897DEST_PATH_IMAGE022
is the first on the drill bit
Figure 84458DEST_PATH_IMAGE005
The dynamic uniaxial compression strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 650568DEST_PATH_IMAGE023
is the first on the drill bit
Figure 765286DEST_PATH_IMAGE005
The dynamic shear strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 391440DEST_PATH_IMAGE024
is the first on the drill bit
Figure 575296DEST_PATH_IMAGE005
The dynamic tensile strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 945098DEST_PATH_IMAGE025
the main cutting tooth invasion equivalent width is mm;
Figure 914322DEST_PATH_IMAGE012
the cutting depth of the main cutting tooth is mm;
Figure 711377DEST_PATH_IMAGE007
is the first on the drill bit
Figure 382529DEST_PATH_IMAGE005
Cutting speed of each cutting tooth, m/s;
Figure 290442DEST_PATH_IMAGE011
the main cutting tooth running time, s;
Figure 114173DEST_PATH_IMAGE010
is the first on the drill bit
Figure 82129DEST_PATH_IMAGE005
The tooth drilling force of each main cutting tooth in the rock breaking process contributes to total energy J.
In step S4, the method for adjusting and controlling the difference between the rock breaking characteristic energy factors of the drilling teeth corresponding to each main cutting tooth to a certain range by adjusting the drill bit layout parameters includes:
Figure 240578DEST_PATH_IMAGE026
；
Figure 952182DEST_PATH_IMAGE027
；
Figure 633349DEST_PATH_IMAGE028
；
in the formula (I), the compound is shown in the specification,
Figure 772206DEST_PATH_IMAGE029
the difference value between the characteristic energy characterization factors of the drilling tooth compression rock breaking process corresponding to each main cutting tooth is dimensionless;
Figure 417951DEST_PATH_IMAGE030
the difference value between the characteristic energy characterization factors of the rock breaking process of the cutting tooth corresponding to each main cutting tooth is dimensionless;
Figure 933246DEST_PATH_IMAGE031
the difference value between the characteristic energy characterization factors of the drilling tooth tensile rock breaking process corresponding to each main cutting tooth is dimensionless;
Figure 465990DEST_PATH_IMAGE022
is the first on the drill bit
Figure 775748DEST_PATH_IMAGE005
The dynamic uniaxial compression strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 908789DEST_PATH_IMAGE023
is the first on the drill bit
Figure 962196DEST_PATH_IMAGE005
The dynamic shear strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 801976DEST_PATH_IMAGE024
is the first on the drill bit
Figure 95685DEST_PATH_IMAGE005
The dynamic tensile strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 653706DEST_PATH_IMAGE025
the main cutting tooth invasion equivalent width is mm;
Figure 307541DEST_PATH_IMAGE012
the cutting depth of the main cutting tooth is mm;
Figure 1827DEST_PATH_IMAGE007
is the first on the drill bit
Figure 732017DEST_PATH_IMAGE005
Cutting speed of each cutting tooth, m/s;
Figure 574071DEST_PATH_IMAGE011
the main cutting tooth running time, s;
Figure 969280DEST_PATH_IMAGE010
is the first on the drill bit
Figure 783653DEST_PATH_IMAGE005
The tooth drilling force of each main cutting tooth in the rock breaking process contributes to total energy J.
In step S4, the drill bit layout parameters include the number of drill bits, the diameter of each drill bit, and each drill bitThe inclination angle of the drill bit, the distance from the position of each main cutting tooth to the axial line of the drill bit; the above-mentioned
Figure 416235DEST_PATH_IMAGE029
、
Figure 683268DEST_PATH_IMAGE030
、
Figure 944485DEST_PATH_IMAGE031
Should be less than or equal to 20%.
And in the step S4, the value range of the drill tooth rock breaking characteristic energy factor corresponding to each main cutting tooth is obtained to be greater than or equal to 52% through the drill tooth rock breaking characteristic energy factor critical characterization condition.
In step S5, the sum of the horizontal cutting force vectors of the drill teeth corresponding to each main cutting tooth on the drill bit is 0, and the sum of the resultant force vectors of the drill teeth corresponding to each main cutting tooth on the drill bit is 0, and the specific method is as follows:
Figure 426413DEST_PATH_IMAGE032
；
Figure 419777DEST_PATH_IMAGE033
；
in the formula (I), the compound is shown in the specification,
Figure 236423DEST_PATH_IMAGE034
the vector sum of the horizontal cutting force of the drill tooth corresponding to each main cutting tooth on the drill bit is dimensionless;
Figure 973435DEST_PATH_IMAGE035
the resultant force vector sum, dimensionless, of the corresponding drilling tooth for each primary cutting tooth on the drill bit;
Figure 309870DEST_PATH_IMAGE036
is as follows
Figure 802031DEST_PATH_IMAGE005
One main cutterA horizontal cutting force vector of the drill tooth corresponding to the cutting tooth;
Figure 43656DEST_PATH_IMAGE037
is as follows
Figure 131829DEST_PATH_IMAGE005
A drilling tooth resultant force vector corresponding to each main cutting tooth; m is the mth direction.
In the step S6, if the arrangement parameters cannot meet the drill bit design criteria by adjustment, the drill bit design is completed by adopting one-way drill bit design conditions according to the leading rock breaking mode of the drill teeth, and the specific method is as follows:
when the drill teeth mainly adopt compression and shearing composite crushing, the requirements are met simultaneously
Figure 837617DEST_PATH_IMAGE038
，
Figure 172783DEST_PATH_IMAGE039
，
Figure 901705DEST_PATH_IMAGE040
，
Figure 784780DEST_PATH_IMAGE041
，
Figure 282757DEST_PATH_IMAGE042
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly adopt shearing and stretching composite crushing, the requirements are met simultaneously
Figure 116721DEST_PATH_IMAGE039
，
Figure 67360DEST_PATH_IMAGE043
，
Figure 762914DEST_PATH_IMAGE040
，
Figure 115398DEST_PATH_IMAGE041
，
Figure 120263DEST_PATH_IMAGE044
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly adopt the composite crushing of stretching and compression, the requirements are met simultaneously
Figure 371247DEST_PATH_IMAGE043
，
Figure 791864DEST_PATH_IMAGE038
，
Figure 326751DEST_PATH_IMAGE040
，
Figure 440200DEST_PATH_IMAGE041
，
Figure 178480DEST_PATH_IMAGE045
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly use compression crushing, the requirements are met
Figure 402788DEST_PATH_IMAGE038
，
Figure 336722DEST_PATH_IMAGE040
，
Figure 621072DEST_PATH_IMAGE041
，
Figure 95916DEST_PATH_IMAGE042
The conditions are used as the design standard of the drill bit;
when the drill tooth is mainly cut and crushed, the requirements of the drill tooth are met
Figure 123915DEST_PATH_IMAGE039
，
Figure 118547DEST_PATH_IMAGE040
，
Figure 370537DEST_PATH_IMAGE041
，
Figure 83409DEST_PATH_IMAGE044
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly adopt tensile crushing, the requirements of the drill teeth on the tensile crushing are met
Figure 649519DEST_PATH_IMAGE043
，
Figure 13505DEST_PATH_IMAGE040
，
Figure 374079DEST_PATH_IMAGE041
，
Figure 574247DEST_PATH_IMAGE045
The conditions serve as drill bit design criteria.
The invention has the beneficial effects that:
the invention considers the rock breaking principle based on equal energy, establishes a drill bit optimization design method, fully considers the energy borne by each main cutting tooth on the drill bit, sets the value range and the difference value of the rock breaking characteristic energy factor of each main cutting tooth in a reasonable range by calculating the total rock breaking energy of each main cutting tooth, adds the horizontal cutting force vector sum to 0 and adds the resultant force vector sum to 0, namely, the energy of each main cutting tooth is adjusted to be equal, when the traditional drill bit is used for drilling a stratum, the energy borne by each main cutting tooth on the drill bit is different and can not be effectively adjusted, thereby causing that the abrasion degree of each main cutting tooth on the drill bit is different, the drill bit is easy to damage and the rock breaking efficiency is lower, the drill bit design method based on the equal energy rock breaking principle provided by the invention adjusts the energy of each main cutting tooth to be equal by parameter adjustment, the drill bit damage caused by different energy borne by each main cutting tooth of the traditional drill bit is eliminated, the rock breaking efficiency of the drill bit is improved, the service life of the drill bit is prolonged, and the drill bit has a wide application prospect.
Detailed Description
The invention is further described below with reference to examples, without limiting the scope of the invention to the following:
example 1:
a drill bit design method based on a dynamic rock breaking energy balance adaptation principle is characterized by comprising the following steps of:
step S1: selecting a target drill tooth and rock, and determining the type of the target drill tooth, the geometric size of the drill tooth, the type of the rock and rock parameters; calculating the horizontal cutting force of the drilling tooth corresponding to each main cutting tooth by a drilling tooth horizontal cutting mechanics calculation method; calculating the vertical pressing force of the drill teeth corresponding to each main cutting tooth by using a vertical pressing mechanical calculation method of the drill teeth;
step S2: obtaining rock breaking energy of each main cutting tooth according to a drilling tooth rock breaking energy calculation method by using the drilling tooth horizontal cutting force corresponding to each main cutting tooth and the drilling tooth vertical pressing force corresponding to each main cutting tooth obtained in the step S1, and calculating total rock breaking energy of each main cutting tooth;
step S3: obtaining a drill tooth rock breaking characteristic energy factor corresponding to each main cutting tooth by using the total rock breaking energy of each main cutting tooth obtained in the step S2 and through a drill tooth rock breaking characteristic energy factor calculation method;
step S4: regulating and controlling the difference value between the rock breaking characteristic energy factors of the drilling teeth corresponding to each main cutting tooth obtained in the step S3 to be within a certain range by adjusting the arrangement parameters of the drill bit, and obtaining the value range of the rock breaking characteristic energy factors of the drilling teeth corresponding to each main cutting tooth by the critical characterization conditions of the rock breaking characteristic energy factors of the drilling teeth;
step S5: adding the horizontal cutting force vector of each drilling tooth corresponding to each main cutting tooth on the drill bit into a certain value, and adding the resultant force vector of each drilling tooth corresponding to each main cutting tooth on the drill bit into a certain value;
step S6: taking the difference between the drilling tooth rock breaking characteristic energy factors corresponding to each main cutting tooth obtained in the step S4, the drilling tooth rock breaking characteristic energy factor value range corresponding to each main cutting tooth, the horizontal cutting force vector sum of the drilling tooth corresponding to each main cutting tooth obtained in the step S5, and the resultant force vector sum of the drilling tooth corresponding to each main cutting tooth on the drill bit as a drill bit design standard, and completing the drill bit design if the design standard is met; and if the drill bit design standard is not met, the drill bit design is finished after the drill bit layout parameters are continuously adjusted to meet the drill bit design standard.
A drill bit design method based on an equal energy rock breaking principle is elaborated according to the situation, and the horizontal cutting force of the drill bit corresponding to each main cutting tooth is calculated through a horizontal cutting mechanics calculation method of the drill bit; the calculation of the drill tooth vertical pressing-in force corresponding to each main cutting tooth through the drill tooth vertical pressing-in mechanical calculation method is only an example of the application and cannot be used as a limiting condition of the application.
Step S1: selecting a target drill tooth and rock, and determining the type of the target drill tooth, the geometric size of the drill tooth, the type of the rock and rock parameters; calculating the horizontal cutting force of the drilling tooth corresponding to each main cutting tooth by a drilling tooth horizontal cutting mechanics calculation method; calculating the vertical pressing-in force of the drill teeth corresponding to each main cutting tooth by a vertical pressing-in mechanics calculation method of the drill teeth:
in the step S1, calculating the horizontal cutting force of the drill bit corresponding to each main cutting tooth by a horizontal cutting mechanics calculation method of the drill bit; one method for calculating the vertical pressing-in force of the drill teeth corresponding to each main cutting tooth by using a vertical pressing-in mechanics calculation method of the drill teeth comprises the following steps:
the method for calculating the horizontal cutting mechanics of the drill teeth is determined according to the following formula:
Figure 944049DEST_PATH_IMAGE046
wherein the content of the first and second substances,
Figure 896961DEST_PATH_IMAGE047
；
Figure 694016DEST_PATH_IMAGE048
；
Figure 118831DEST_PATH_IMAGE049
；
Figure 292323DEST_PATH_IMAGE050
；
Figure 365321DEST_PATH_IMAGE051
；
Figure 333277DEST_PATH_IMAGE052
；
Figure 242459DEST_PATH_IMAGE053
；
Figure 954063DEST_PATH_IMAGE054
；
Figure 881567DEST_PATH_IMAGE055
；
Figure 20425DEST_PATH_IMAGE056
；
Figure 416902DEST_PATH_IMAGE057
；
Figure 666618DEST_PATH_IMAGE058
；
Figure 714208DEST_PATH_IMAGE059
；
Figure 23967DEST_PATH_IMAGE060
；
in the formula (I), the compound is shown in the specification,
Figure 907740DEST_PATH_IMAGE061
the horizontal cutting force of the drill teeth, N;
Figure 961147DEST_PATH_IMAGE062
dynamic rock uniaxial compressive strength, MPa;
Figure 863244DEST_PATH_IMAGE063
dynamic rock tensile strength, MPa;
Figure 154024DEST_PATH_IMAGE064
dynamic rock shear strength, MPa;
Figure 446465DEST_PATH_IMAGE065
is the back rake angle of the drilling tooth, rad;
Figure 365879DEST_PATH_IMAGE066
(ii) is the scrap-compaction transition angle, rad;
Figure 60166DEST_PATH_IMAGE067
is the average friction angle, rad, between the drill tooth and the rock interface;
Figure 524776DEST_PATH_IMAGE068
is the internal friction angle of the rock and is,
Figure 570092DEST_PATH_IMAGE025
the equivalent width of the drill tooth invasion is mm;
Figure 27619DEST_PATH_IMAGE012
the penetration depth of the drill teeth is mm.
The method for calculating the vertical pressing-in mechanics of the drill teeth is determined according to the following formula:
Figure 576412DEST_PATH_IMAGE069
in the formula (I), the compound is shown in the specification,
Figure 477503DEST_PATH_IMAGE070
the vertical pressing force of the drill teeth is N;
Figure 744536DEST_PATH_IMAGE065
is the back rake angle of the drilling tooth, rad;
Figure 5753DEST_PATH_IMAGE067
is the average friction angle, rad, between the drill tooth and the rock interface;
Figure 409053DEST_PATH_IMAGE061
the vertical pressing force of the drill teeth, N.
The method for calculating the total force of the drill teeth is determined according to the following formula:
Figure 481045DEST_PATH_IMAGE071
wherein the content of the first and second substances,
Figure 235374DEST_PATH_IMAGE072
；
Figure 34703DEST_PATH_IMAGE073
；
Figure 558088DEST_PATH_IMAGE074
；
Figure 815630DEST_PATH_IMAGE075
；
Figure 791677DEST_PATH_IMAGE076
；
Figure 394696DEST_PATH_IMAGE052
；
Figure 38167DEST_PATH_IMAGE053
；
Figure 186383DEST_PATH_IMAGE054
；
Figure 915304DEST_PATH_IMAGE055
；
Figure 56436DEST_PATH_IMAGE056
；
Figure 554413DEST_PATH_IMAGE057
；
Figure 935847DEST_PATH_IMAGE058
；
Figure 152065DEST_PATH_IMAGE059
；
Figure 847620DEST_PATH_IMAGE060
；
in the formula (I), the compound is shown in the specification,
Figure 200103DEST_PATH_IMAGE061
the horizontal cutting force of the drill teeth, N;
Figure 204969DEST_PATH_IMAGE062
dynamic rock uniaxial compressive strength, MPa;
Figure 642903DEST_PATH_IMAGE063
dynamic rock tensile strength, MPa;
Figure 873640DEST_PATH_IMAGE064
for dynamic rock shear strengthDegree, MPa;
Figure 346209DEST_PATH_IMAGE065
is the back rake angle of the drilling tooth, rad;
Figure 256397DEST_PATH_IMAGE066
(ii) is the scrap-compaction transition angle, rad;
Figure 181627DEST_PATH_IMAGE067
is the average friction angle, rad, between the drill tooth and the rock interface;
Figure 218985DEST_PATH_IMAGE068
is the internal friction angle of the rock and is,
Figure 546061DEST_PATH_IMAGE025
the equivalent width of the drill tooth invasion is mm;
Figure 892728DEST_PATH_IMAGE012
the penetration depth of the drill teeth is mm;
Figure 305255DEST_PATH_IMAGE077
the resultant force of the drilling teeth, N.
Step S2: obtaining rock breaking energy of each main cutting tooth according to a drilling tooth rock breaking energy calculation method by using the drilling tooth horizontal cutting force corresponding to each main cutting tooth and the drilling tooth vertical pressing force corresponding to each main cutting tooth obtained in the step S1, and calculating total rock breaking energy of each main cutting tooth:
according to the drilling tooth rock breaking energy calculation method, the rock breaking energy contributed by each main cutting tooth is obtained, and the specific method for calculating the total rock breaking energy contributed by each main cutting tooth comprises the following steps:
Figure 880724DEST_PATH_IMAGE001
；
Figure 62307DEST_PATH_IMAGE002
；
Figure 579876DEST_PATH_IMAGE003
；
in the formula (I), the compound is shown in the specification,
Figure 479699DEST_PATH_IMAGE004
is the first on the drill bit
Figure 858859DEST_PATH_IMAGE005
Energy contributed by horizontal cutting force in the rock breaking process of each main cutting tooth, J;
Figure 894948DEST_PATH_IMAGE006
is the first on the drill bit
Figure 583418DEST_PATH_IMAGE005
Horizontal cutting force N in the rock breaking process of each main cutting tooth;
Figure 970537DEST_PATH_IMAGE007
is the first on the drill bit
Figure 890738DEST_PATH_IMAGE005
Cutting speed of each main cutting tooth, m/s;
Figure 46913DEST_PATH_IMAGE008
is the first on the drill bit
Figure 906285DEST_PATH_IMAGE005
Energy contributed by vertical pressing force in the rock breaking process of the main cutting teeth, J;
Figure 515121DEST_PATH_IMAGE009
is the first on the drill bit
Figure 501662DEST_PATH_IMAGE005
Vertical pressing force N in the rock breaking process of the main cutting teeth;
Figure 512344DEST_PATH_IMAGE010
is the first on the drill bit
Figure 542616DEST_PATH_IMAGE005
The tooth drilling force contributes to total energy J in the rock breaking process of each main cutting tooth;
Figure 638748DEST_PATH_IMAGE011
the main cutting tooth running time, s;
Figure 897823DEST_PATH_IMAGE012
is the cutting depth of the main cutting tooth, mm.
On the drill bit
Figure 28590DEST_PATH_IMAGE005
Cutting speed of main cutting tooth
Figure 229764DEST_PATH_IMAGE007
The expression of (a) is:
Figure 813192DEST_PATH_IMAGE013
in the formula (I), the compound is shown in the specification,
Figure 875957DEST_PATH_IMAGE014
is the first on the drill bit
Figure 861231DEST_PATH_IMAGE005
The distance from the position of each main cutting tooth to the axial lead of the drill bit is m;
Figure 233306DEST_PATH_IMAGE015
the rotating speed of the cutting teeth on the drill bit is r/min;
Figure 304030DEST_PATH_IMAGE007
is the first on the drill bit
Figure 167557DEST_PATH_IMAGE005
The cutting speed of each cutting tooth is m/s.
The drill tooth rock breaking characteristic energy factor corresponding to each main cutting tooth comprises a compression rock breaking process characteristic energy characterization factor, a shearing rock breaking process characteristic energy characterization factor and a stretching rock breaking process characteristic energy characterization factor.
Step S3: and (5) obtaining the rock breaking characteristic energy factor of the drilling tooth corresponding to each main cutting tooth by using the total rock breaking energy of each main cutting tooth obtained in the step (S2) and through a drilling tooth rock breaking characteristic energy factor calculation method:
the specific method for obtaining the drill tooth rock breaking characteristic energy factor corresponding to each main cutting tooth through the drill tooth rock breaking characteristic energy factor calculation method comprises the following steps:
Figure 7337DEST_PATH_IMAGE016
；
Figure 550313DEST_PATH_IMAGE017
；
Figure 842754DEST_PATH_IMAGE018
；
in the formula (I), the compound is shown in the specification,
Figure 512901DEST_PATH_IMAGE019
is the first on the drill bit
Figure 207188DEST_PATH_IMAGE005
Characteristic energy characterization factors of the compression rock breaking process of the main cutting teeth are dimensionless;
Figure 921066DEST_PATH_IMAGE020
is the first on the drill bit
Figure 966382DEST_PATH_IMAGE005
Characteristic energy characterization factors of the shearing and rock breaking process of the main cutting teeth are dimensionless;
Figure 174641DEST_PATH_IMAGE021
is the first on the drill bit
Figure 723434DEST_PATH_IMAGE005
Characteristic energy characterization factors of the stretching rock breaking process of the main cutting teeth are dimensionless;
Figure 873793DEST_PATH_IMAGE022
is the first on the drill bit
Figure 140826DEST_PATH_IMAGE005
The dynamic uniaxial compression strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 887196DEST_PATH_IMAGE023
is the first on the drill bit
Figure 556075DEST_PATH_IMAGE005
The dynamic shear strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 681595DEST_PATH_IMAGE024
is the first on the drill bit
Figure 170345DEST_PATH_IMAGE005
The dynamic tensile strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 172936DEST_PATH_IMAGE025
the main cutting tooth invasion equivalent width is mm;
Figure 758638DEST_PATH_IMAGE012
the cutting depth of the main cutting tooth is mm;
Figure 735953DEST_PATH_IMAGE007
is the first on the drill bit
Figure 977578DEST_PATH_IMAGE005
Cutting speed of each cutting tooth, m/s;
Figure 580598DEST_PATH_IMAGE011
the main cutting tooth running time, s;
Figure 958490DEST_PATH_IMAGE010
is the first on the drill bit
Figure 372285DEST_PATH_IMAGE005
The tooth drilling force of each main cutting tooth in the rock breaking process contributes to total energy J.
Step S4: regulating and controlling the difference value between the drilling tooth rock breaking characteristic energy factors corresponding to each main cutting tooth obtained in the step S3 to be within a certain range by adjusting the arrangement parameters of the drill bit, and obtaining the value range of the drilling tooth rock breaking characteristic energy factors corresponding to each main cutting tooth through the critical characterization conditions of the drilling tooth rock breaking characteristic energy factors:
the method for regulating and controlling the difference value between the rock breaking characteristic energy factors of the drilling teeth corresponding to each main cutting tooth to be within a certain range by adjusting the arrangement parameters of the drill bit comprises the following steps:
Figure 835627DEST_PATH_IMAGE026
；
Figure 242337DEST_PATH_IMAGE027
；
Figure 740315DEST_PATH_IMAGE028
；
in the formula (I), the compound is shown in the specification,
Figure 59432DEST_PATH_IMAGE029
the difference value between the characteristic energy characterization factors of the drilling tooth compression rock breaking process corresponding to each main cutting tooth is dimensionless;
Figure 275650DEST_PATH_IMAGE030
the difference value between the characteristic energy characterization factors of the rock breaking process of the cutting tooth corresponding to each main cutting tooth is dimensionless;
Figure 220472DEST_PATH_IMAGE031
between characteristic energy characterization factors of the stretching rock breaking process of the drilling tooth corresponding to each main cutting toothDifference, dimensionless;
Figure 572956DEST_PATH_IMAGE022
is the first on the drill bit
Figure 249925DEST_PATH_IMAGE005
The dynamic uniaxial compression strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 497979DEST_PATH_IMAGE023
is the first on the drill bit
Figure 246492DEST_PATH_IMAGE005
The dynamic shear strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 453483DEST_PATH_IMAGE024
is the first on the drill bit
Figure 379981DEST_PATH_IMAGE005
The dynamic tensile strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 305212DEST_PATH_IMAGE025
the main cutting tooth invasion equivalent width is mm;
Figure 529520DEST_PATH_IMAGE012
the cutting depth of the main cutting tooth is mm;
Figure 918913DEST_PATH_IMAGE007
is the first on the drill bit
Figure 203264DEST_PATH_IMAGE005
Cutting speed of each cutting tooth, m/s;
Figure 163261DEST_PATH_IMAGE011
the main cutting tooth running time, s;
Figure 253577DEST_PATH_IMAGE010
is the first on the drill bit
Figure 435159DEST_PATH_IMAGE005
The tooth drilling force of each main cutting tooth in the rock breaking process contributes to total energy J.
The drill bit layout parameters comprise the number of the drill teeth, the diameter of each drill tooth, the inclination angle of each drill tooth and the distance from the position of each main cutting tooth to the axial line of the drill bit; the above-mentioned
Figure 703461DEST_PATH_IMAGE029
、
Figure 603283DEST_PATH_IMAGE030
、
Figure 169394DEST_PATH_IMAGE031
Should be less than or equal to 20%.
And obtaining the value range of the drill tooth rock breaking characteristic energy factor corresponding to each main cutting tooth to be more than or equal to 52% through the drill tooth rock breaking characteristic energy factor critical characterization condition.
Step S5: adding the horizontal cutting force vector of the drilling tooth corresponding to each main cutting tooth on the drill bit into a certain value, and adding the resultant force vector of the drilling tooth corresponding to each main cutting tooth on the drill bit into a certain value:
in step S5, the sum of the horizontal cutting force vectors of the drill teeth corresponding to each main cutting tooth on the drill bit is 0, and the sum of the resultant force vectors of the drill teeth corresponding to each main cutting tooth on the drill bit is 0, and the specific method is as follows:
in step S5, the sum of the horizontal cutting force vectors of the drill teeth corresponding to each main cutting tooth on the drill bit is 0, and the sum of the resultant force vectors of the drill teeth corresponding to each main cutting tooth on the drill bit is 0, and the specific method is as follows:
Figure 267800DEST_PATH_IMAGE032
；
Figure 893953DEST_PATH_IMAGE033
；
in the formula (I), the compound is shown in the specification,
Figure 831472DEST_PATH_IMAGE034
the vector sum of the horizontal cutting force of the drill tooth corresponding to each main cutting tooth on the drill bit is dimensionless;
Figure 201274DEST_PATH_IMAGE035
the resultant force vector sum, dimensionless, of the corresponding drilling tooth for each primary cutting tooth on the drill bit;
Figure 419765DEST_PATH_IMAGE036
is as follows
Figure 216820DEST_PATH_IMAGE005
A drill tooth horizontal cutting force vector corresponding to each main cutting tooth;
Figure 638705DEST_PATH_IMAGE037
is as follows
Figure 546618DEST_PATH_IMAGE005
A drilling tooth resultant force vector corresponding to each main cutting tooth; m is the mth direction.
Step S6: taking the difference between the drilling tooth rock breaking characteristic energy factors corresponding to each main cutting tooth obtained in the step S4, the drilling tooth rock breaking characteristic energy factor value range corresponding to each main cutting tooth, the horizontal cutting force vector sum of the drilling tooth corresponding to each main cutting tooth obtained in the step S5, and the resultant force vector sum of the drilling tooth corresponding to each main cutting tooth on the drill bit as a drill bit design standard, and completing the drill bit design if the design standard is met; if the drill bit design standard is not met, the drill bit design is finished after the drill bit layout parameters are continuously adjusted to meet the drill bit design standard:
if the arrangement parameters cannot meet the design standard of the drill bit through adjustment, the design of the drill bit is completed by adopting one-way drill bit design conditions according to the leading rock breaking mode of the drill teeth, and the specific method comprises the following steps:
when the drill teeth mainly adopt compression and shearing composite crushing, the requirements are met simultaneously
Figure 619617DEST_PATH_IMAGE038
，
Figure 587573DEST_PATH_IMAGE039
，
Figure 496754DEST_PATH_IMAGE040
，
Figure 208358DEST_PATH_IMAGE041
，
Figure 401442DEST_PATH_IMAGE042
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly adopt shearing and stretching composite crushing, the requirements are met simultaneously
Figure 540299DEST_PATH_IMAGE039
，
Figure 858148DEST_PATH_IMAGE043
，
Figure 186492DEST_PATH_IMAGE040
，
Figure 171766DEST_PATH_IMAGE041
，
Figure 543841DEST_PATH_IMAGE044
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly adopt the composite crushing of stretching and compression, the requirements are met simultaneously
Figure 159106DEST_PATH_IMAGE043
，
Figure 212513DEST_PATH_IMAGE038
，
Figure 114610DEST_PATH_IMAGE040
，
Figure 408319DEST_PATH_IMAGE041
，
Figure 966339DEST_PATH_IMAGE045
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly use compression crushing, the requirements are met
Figure 557858DEST_PATH_IMAGE038
，
Figure 580040DEST_PATH_IMAGE040
，
Figure 44651DEST_PATH_IMAGE041
，
Figure 824388DEST_PATH_IMAGE042
The conditions are used as the design standard of the drill bit;
when the drill tooth is mainly cut and crushed, the requirements of the drill tooth are met
Figure 281914DEST_PATH_IMAGE039
，
Figure 96286DEST_PATH_IMAGE040
，
Figure 731798DEST_PATH_IMAGE041
，
Figure 998831DEST_PATH_IMAGE044
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly adopt tensile crushing, the requirements of the drill teeth on the tensile crushing are met
Figure 260048DEST_PATH_IMAGE043
，
Figure 928927DEST_PATH_IMAGE040
，
Figure 922291DEST_PATH_IMAGE041
，
Figure 504318DEST_PATH_IMAGE045
The conditions serve as drill bit design criteria.
The invention discloses a drill bit design method based on a dynamic rock breaking energy balance adaptation principle, which comprises the following steps of firstly, obtaining the total rock breaking energy of each main cutting tooth through mechanical calculation; then, obtaining the drill tooth rock breaking characteristic energy factor corresponding to each main cutting tooth and the value range thereof, and obtaining the difference value between the drill tooth rock breaking characteristic energy factors corresponding to each main cutting tooth; secondly, acquiring the vector sum of the horizontal cutting force of the drill teeth corresponding to each main cutting tooth and the vector sum of the resultant force of the drill teeth corresponding to each main cutting tooth; finally, the value range and the difference of the rock breaking characteristic energy factors of the drill teeth, and the horizontal cutting force vector summation and the resultant force vector summation of the drill teeth are used as design standards to complete the design of the drill bit.
The invention considers the rock breaking principle based on equal energy, establishes a drill bit optimization design method, fully considers the energy borne by each main cutting tooth on the drill bit, sets the value range and the difference value of the rock breaking characteristic energy factor of each main cutting tooth in a reasonable range by calculating the total rock breaking energy of each main cutting tooth, adds the horizontal cutting force vector sum to 0 and adds the resultant force vector sum to 0, namely, the energy of each main cutting tooth is adjusted to be equal, when the traditional drill bit is used for drilling a stratum, the energy borne by each main cutting tooth on the drill bit is different, thereby causing different abrasion degrees of each main cutting tooth on the drill bit, the drill bit is easy to damage and the rock breaking efficiency is lower, the drill bit design method based on the rock breaking principle based on equal energy adjusts the energy to be equal through parameter adjustment, the drill bit damage caused by different energy borne by each main cutting tooth of the traditional drill bit is eliminated, the rock breaking efficiency of the drill bit is improved, the service life of the drill bit is prolonged, and the drill bit has a wide application prospect.
Thus, it will be appreciated by those skilled in the art that while embodiments of the invention have been illustrated and described in detail herein, many other variations or modifications can be made which conform to the principles of the invention, as may be directly determined or derived from the disclosure herein, without departing from the spirit and scope of the invention. Accordingly, the scope of the invention should be understood and interpreted to cover all such other variations or modifications.

Claims (10)

1. A drill bit design method based on a dynamic rock breaking energy balance adaptation principle is characterized by comprising the following steps of:
step S1: selecting a target drill tooth and rock, and determining the type of the target drill tooth, the geometric size of the drill tooth, the type of the rock and rock parameters; calculating the horizontal cutting force of the drilling tooth corresponding to each main cutting tooth by a drilling tooth horizontal cutting mechanics calculation method; calculating the vertical pressing force of the drill teeth corresponding to each main cutting tooth by using a vertical pressing mechanical calculation method of the drill teeth;
step S2: obtaining rock breaking energy of each main cutting tooth according to a drilling tooth rock breaking energy calculation method by using the drilling tooth horizontal cutting force corresponding to each main cutting tooth and the drilling tooth vertical pressing force corresponding to each main cutting tooth obtained in the step S1, and calculating total rock breaking energy of each main cutting tooth;
step S3: obtaining a drill tooth rock breaking characteristic energy factor corresponding to each main cutting tooth by using the total rock breaking energy of each main cutting tooth obtained in the step S2 and through a drill tooth rock breaking characteristic energy factor calculation method;
step S4: regulating and controlling the difference value between the rock breaking characteristic energy factors of the drilling teeth corresponding to each main cutting tooth obtained in the step S3 by adjusting the arrangement parameters of the drill bit, and obtaining the value range of the rock breaking characteristic energy factors of the drilling teeth corresponding to each main cutting tooth by the critical characterization conditions of the rock breaking characteristic energy factors of the drilling teeth;
step S5: adding the horizontal cutting force vectors of the drill teeth corresponding to each main cutting tooth on the drill bit, and adding the resultant force vectors of the drill teeth corresponding to each main cutting tooth on the drill bit;
step S6: taking the difference between the drilling tooth rock breaking characteristic energy factors corresponding to each main cutting tooth obtained in the step S4, the drilling tooth rock breaking characteristic energy factor value range corresponding to each main cutting tooth, the horizontal cutting force vector sum of the drilling tooth corresponding to each main cutting tooth obtained in the step S5, and the resultant force vector sum of the drilling tooth corresponding to each main cutting tooth on the drill bit as a drill bit design standard, and completing the drill bit design if the design standard is met; and if the drill bit design standard is not met, the drill bit design is finished after the drill bit layout parameters are continuously adjusted to meet the drill bit design standard.
2. The drill bit design method based on the dynamic rock breaking energy balance adaptation principle as claimed in claim 1, wherein in step S2, the concrete method for obtaining the rock breaking energy contributed by each main cutting tooth according to the drilling tooth rock breaking energy calculation method and calculating the total rock breaking energy contributed by each main cutting tooth is as follows:
Figure DEST_PATH_IMAGE001
；
Figure DEST_PATH_IMAGE002
；
Figure DEST_PATH_IMAGE003
；
in the formula (I), the compound is shown in the specification,
Figure DEST_PATH_IMAGE004
is the first on the drill bit
Figure DEST_PATH_IMAGE005
Energy contributed by horizontal cutting force in the rock breaking process of each main cutting tooth, J;
Figure DEST_PATH_IMAGE006
is the first on the drill bit
Figure 538862DEST_PATH_IMAGE005
Horizontal cutting force N in the rock breaking process of each main cutting tooth;
Figure DEST_PATH_IMAGE007
is the first on the drill bit
Figure 443364DEST_PATH_IMAGE005
Cutting speed of each main cutting tooth, m/s;
Figure DEST_PATH_IMAGE008
is the first on the drill bit
Figure 480590DEST_PATH_IMAGE005
Energy contributed by vertical pressing force in the rock breaking process of the main cutting teeth, J;
Figure DEST_PATH_IMAGE009
is the first on the drill bit
Figure 103332DEST_PATH_IMAGE005
Vertical pressing force N in the rock breaking process of the main cutting teeth;
Figure DEST_PATH_IMAGE010
is the first on the drill bit
Figure 782575DEST_PATH_IMAGE005
The tooth drilling force contributes to total energy J in the rock breaking process of each main cutting tooth;
Figure DEST_PATH_IMAGE011
the main cutting tooth running time, s;
Figure DEST_PATH_IMAGE012
is the cutting depth of the main cutting tooth, mm.
3. A process as claimed in claim 2The drill bit design method based on the dynamic rock breaking energy balance adaptation principle is characterized in that the first step on the drill bit
Figure 305698DEST_PATH_IMAGE005
Cutting speed of main cutting tooth
Figure 248246DEST_PATH_IMAGE007
The expression of (a) is:
Figure DEST_PATH_IMAGE013
in the formula (I), the compound is shown in the specification,
Figure DEST_PATH_IMAGE014
is the first on the drill bit
Figure 623864DEST_PATH_IMAGE005
The distance from the position of each main cutting tooth to the axial lead of the drill bit is m;
Figure DEST_PATH_IMAGE015
the rotating speed of the cutting teeth on the drill bit is r/min;
Figure 716585DEST_PATH_IMAGE007
is the first on the drill bit
Figure 189155DEST_PATH_IMAGE005
The cutting speed of each cutting tooth is m/s.
4. The drill bit design method based on the dynamic rock breaking energy balance adaptation principle as claimed in claim 1, wherein in step S3, the rock breaking characteristic energy factor of the drilling tooth corresponding to each main cutting tooth includes a compression rock breaking process characteristic energy characterization factor, a shear rock breaking process characteristic energy characterization factor, and a tension rock breaking process characteristic energy characterization factor.
5. The drill bit design method based on the dynamic rock breaking energy balance adaptation principle as claimed in claim 1, wherein in step S3, the specific method for obtaining the rock breaking characteristic energy factor of the drill tooth corresponding to each main cutting tooth through the rock breaking characteristic energy factor calculation method of the drill tooth is as follows:
Figure DEST_PATH_IMAGE016
；
Figure DEST_PATH_IMAGE017
；
Figure DEST_PATH_IMAGE018
；
in the formula (I), the compound is shown in the specification,
Figure DEST_PATH_IMAGE019
is the first on the drill bit
Figure 505866DEST_PATH_IMAGE005
Characteristic energy characterization factors of the compression rock breaking process of the main cutting teeth are dimensionless;
Figure DEST_PATH_IMAGE020
is the first on the drill bit
Figure 330298DEST_PATH_IMAGE005
Characteristic energy characterization factors of the shearing and rock breaking process of the main cutting teeth are dimensionless;
Figure DEST_PATH_IMAGE021
is the first on the drill bit
Figure 226709DEST_PATH_IMAGE005
Characteristic energy meter for stretching rock breaking process of main cutting toothA sign factor, dimensionless;
Figure DEST_PATH_IMAGE022
is the first on the drill bit
Figure 84944DEST_PATH_IMAGE005
The dynamic uniaxial compression strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure DEST_PATH_IMAGE023
is the first on the drill bit
Figure 775819DEST_PATH_IMAGE005
The dynamic shear strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure DEST_PATH_IMAGE024
is the first on the drill bit
Figure 453925DEST_PATH_IMAGE005
The dynamic tensile strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure DEST_PATH_IMAGE025
the main cutting tooth invasion equivalent width is mm;
Figure 888449DEST_PATH_IMAGE012
the cutting depth of the main cutting tooth is mm;
Figure 335611DEST_PATH_IMAGE007
is the first on the drill bit
Figure 56442DEST_PATH_IMAGE005
Cutting speed of each cutting tooth, m/s;
Figure 861325DEST_PATH_IMAGE011
the main cutting tooth running time, s;
Figure 693015DEST_PATH_IMAGE010
is the first on the drill bit
Figure 994683DEST_PATH_IMAGE005
The tooth drilling force of each main cutting tooth in the rock breaking process contributes to total energy J.
6. The drill bit design method based on the dynamic rock breaking energy balance adaptation principle as claimed in claim 1, wherein in step S4, the method for adjusting the difference between the rock breaking characteristic energy factors of the drilling teeth corresponding to each main cutting tooth to a certain range by adjusting the drill bit layout parameters comprises:
Figure DEST_PATH_IMAGE026
；
Figure DEST_PATH_IMAGE027
；
Figure DEST_PATH_IMAGE028
；
in the formula (I), the compound is shown in the specification,
Figure DEST_PATH_IMAGE029
the difference value between the characteristic energy characterization factors of the drilling tooth compression rock breaking process corresponding to each main cutting tooth is dimensionless;
Figure DEST_PATH_IMAGE030
the difference value between the characteristic energy characterization factors of the rock breaking process of the cutting tooth corresponding to each main cutting tooth is dimensionless;
Figure DEST_PATH_IMAGE031
the difference value between the characteristic energy characterization factors of the drilling tooth tensile rock breaking process corresponding to each main cutting tooth is dimensionless;
Figure 230623DEST_PATH_IMAGE022
is the first on the drill bit
Figure 617742DEST_PATH_IMAGE005
The dynamic uniaxial compression strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 394068DEST_PATH_IMAGE023
is the first on the drill bit
Figure 815823DEST_PATH_IMAGE005
The dynamic shear strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 878456DEST_PATH_IMAGE024
is the first on the drill bit
Figure 752872DEST_PATH_IMAGE005
The dynamic tensile strength of each main cutting tooth in the dynamic rock breaking process is MPa;
Figure 300265DEST_PATH_IMAGE025
the main cutting tooth invasion equivalent width is mm;
Figure 576526DEST_PATH_IMAGE012
the cutting depth of the main cutting tooth is mm;
Figure 810061DEST_PATH_IMAGE007
is the first on the drill bit
Figure 171772DEST_PATH_IMAGE005
Cutting speed of each cutting tooth, m/s;
Figure 24322DEST_PATH_IMAGE011
the main cutting tooth running time, s;
Figure 420668DEST_PATH_IMAGE010
is the first on the drill bit
Figure 825105DEST_PATH_IMAGE005
The tooth drilling force of each main cutting tooth in the rock breaking process contributes to total energy J.
7. The drill bit design method based on the dynamic rock breaking energy balance adaptation principle as claimed in claim 6, wherein in the step S4, the drill bit layout parameters include the number of drill teeth, the diameter of each drill tooth, the inclination angle of each drill tooth, the distance from the position of each main cutting tooth to the axial line of the drill bit; the above-mentioned
Figure 549478DEST_PATH_IMAGE029
、
Figure 330352DEST_PATH_IMAGE030
、
Figure 581205DEST_PATH_IMAGE031
Should be less than or equal to 20%.
8. The drill bit design method based on the dynamic rock breaking energy balance adaptation principle as claimed in claim 1, wherein in step S4, the value range of the rock breaking characteristic energy factor of the drilling tooth corresponding to each main cutting tooth is obtained to be not less than 52% through the rock breaking characteristic energy factor critical characterization condition of the drilling tooth.
9. The drill bit design method based on the dynamic rock breaking energy balance adaptation principle as claimed in claim 1, wherein the step S5 is to sum the horizontal cutting force vector of the drill bit corresponding to each main cutting tooth on the drill bit to 0 and the resultant force vector of the drill bit corresponding to each main cutting tooth on the drill bit to 0, and the specific method is as follows:
Figure DEST_PATH_IMAGE032
；
Figure DEST_PATH_IMAGE033
；
in the formula (I), the compound is shown in the specification,
Figure DEST_PATH_IMAGE034
the vector sum of the horizontal cutting force of the drill tooth corresponding to each main cutting tooth on the drill bit is dimensionless;
Figure DEST_PATH_IMAGE035
the resultant force vector sum, dimensionless, of the corresponding drilling tooth for each primary cutting tooth on the drill bit;
Figure DEST_PATH_IMAGE036
is as follows
Figure 733707DEST_PATH_IMAGE005
A drill tooth horizontal cutting force vector corresponding to each main cutting tooth;
Figure DEST_PATH_IMAGE037
is as follows
Figure 70010DEST_PATH_IMAGE005
A drilling tooth resultant force vector corresponding to each main cutting tooth; m is the mth direction.
10. The drill bit design method based on the dynamic rock breaking energy balance adaptation principle as claimed in claim 1, wherein if the arrangement parameters cannot meet the drill bit design criteria in step S6, the drill bit design is completed by adopting one-way drill bit design conditions according to the leading rock breaking mode of the drill bit, and the specific method is as follows:
when the drill teeth mainly adopt compression and shearing composite crushing, the requirements are met simultaneously
Figure DEST_PATH_IMAGE038
，
Figure DEST_PATH_IMAGE039
，
Figure DEST_PATH_IMAGE040
，
Figure DEST_PATH_IMAGE041
，
Figure DEST_PATH_IMAGE042
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly adopt shearing and stretching composite crushing, the requirements are met simultaneously
Figure 733204DEST_PATH_IMAGE039
，
Figure DEST_PATH_IMAGE043
，
Figure 104142DEST_PATH_IMAGE040
，
Figure 725747DEST_PATH_IMAGE041
，
Figure DEST_PATH_IMAGE044
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly adopt the composite crushing of stretching and compression, the requirements are met simultaneously
Figure 814926DEST_PATH_IMAGE043
，
Figure 672024DEST_PATH_IMAGE038
，
Figure 542809DEST_PATH_IMAGE040
，
Figure 459949DEST_PATH_IMAGE041
，
Figure DEST_PATH_IMAGE045
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly use compression crushing, the requirements are met
Figure 646211DEST_PATH_IMAGE038
，
Figure 306999DEST_PATH_IMAGE040
，
Figure 386951DEST_PATH_IMAGE041
，
Figure 474993DEST_PATH_IMAGE042
The conditions are used as the design standard of the drill bit;
when the drill tooth is mainly cut and crushed, the requirements of the drill tooth are met
Figure 882971DEST_PATH_IMAGE039
，
Figure 347451DEST_PATH_IMAGE040
，
Figure 281909DEST_PATH_IMAGE041
，
Figure 681797DEST_PATH_IMAGE044
The conditions are used as the design standard of the drill bit;
when the drill teeth mainly adopt tensile crushing, the requirements of the drill teeth on the tensile crushing are met
Figure 701706DEST_PATH_IMAGE043
，
Figure 969876DEST_PATH_IMAGE040
，
Figure 758841DEST_PATH_IMAGE041
，
Figure 562586DEST_PATH_IMAGE045
The conditions serve as drill bit design criteria.
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